基于剪切梁层间失效模型的断层冲击地压分析
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摘要
将剪切梁层间失效模型用于分析断层冲击地压的发生,在不考虑断层的弹性时对断层冲击地压进行了解析分析,得到了剪切梁的位移和应力分布规律和断层冲击地压发生时撕开裂纹长度和临界载荷。分析了撕开裂纹长度和临界载荷与各种力学参数之间的关系。研究结果表明:当采深越大,剪切梁的剪切弹性模量越小,剪切梁厚度越厚,断层带剪切软化模量越大;断层带厚度、滑动摩擦系数、剪应力峰值强度越小时,断层冲击地压容易发生。采深、剪切梁的剪切弹性模量、断层带剪切软化模量、剪应力峰值强度、断层带厚度这些参数对断层冲击地压的发生影响较大。其结果为预测、防治断层冲击地压提供了理论依据。
Shear beam model for interface failure was used for analyzing the fault rockburst occurrence.To analyze fault rockburst without considering the elasticity of the fault,the law of shear beam displacement and stress distributions,tearing crack length and critical load when fault rockburst occurred were obtained.The relation among tearing crack length,critical load and various kinds of mechanical parameters was analyzed.The results obtained show that if mining depth is large,and if the shear elastic modulus of the shear beam is low and thickness of the shear beam is large,and if shear softening ratio of faulted zone is large and thickness,coefficient of sliding friction,shear stress peak strength of faulted zone is low,then fault rockburst is easy to occur.These parameters of mining depth and the shear elastic modulus of the shear beam and shear softening ratio,shear stress peak strength,thickness of faulted zone have a more large influence on the fault rockburst occurrence.The theoretical foundation for fault rockburst prediction and prevention was proposed.
Shear beam model for interface failure was used for analyzing the fault rockburst occurrence.To analyze fault rockburst without considering the elasticity of the fault,the law of shear beam displacement and stress distributions,tearing crack length and critical load when fault rockburst occurred were obtained.The relation among tearing crack length,critical load and various kinds of mechanical parameters was analyzed.The results obtained show that if mining depth is large,and if the shear elastic modulus of the shear beam is low and thickness of the shear beam is large,and if shear softening ratio of faulted zone is large and thickness,coefficient of sliding friction,shear stress peak strength of faulted zone is low,then fault rockburst is easy to occur.These parameters of mining depth and the shear elastic modulus of the shear beam and shear softening ratio,shear stress peak strength,thickness of faulted zone have a more large influence on the fault rockburst occurrence.The theoretical foundation for fault rockburst prediction and prevention was proposed.
引文
[1]潘一山,王来贵,章梦涛,等.断层冲击地压发生的理论与实验研究[J].岩石力学与工程学报,1998,17(6):642―649.PAN Yi-shan,WANG Lai-gui,ZHANG Meng-tao,et al.The theoretical and testing study of fault rockburst[J].Chinese Journal of Rock Mechanics and Engineering,1998,17(6):642―649.
[2]徐世杰.矿震诱发机制的探讨[J].地震,1987,5:44―49.XU Shi-jie.Study on induced mechanism of rockburst[J].Earthquake,1987,(5):44―49.
[3]齐庆新,史元伟,刘天泉.冲击地压粘滑失稳机理的实验研究[J].煤炭学报,1997,22(2):140―148.QI Qing-xin,SHI Yuan-wei,LIU Tian-quan.Mechanism of instability caused by viscous sliding in rockburst[J].Journal Of China Coal Society,1997,22(2):140―148.
[4]Bro A.The influence of stick-slip on block reaction curves[J].International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1992,29(2):119―131.
[5]Rice J R,Ruina A L.Stability of steady frictional slipping[J].Journal of Applied,Mechanics,1983,50:343―349.
[6]Galvanetto U,Bishop S R,Briseghella L.Mechanical stick-slip vibrations[J].International Journal of Bifurcation and Chaos,1995,5(3):637―651.
[7]Salamon MDG.Keynote address:some applications of geomechanical modeling in rockburst and related research[A].Proceedings of the 3rd International Symposium on Rockbursts and Seismicity in Mines[C].Rotterdam:A.A.Balkema,1993:297―309.
[8]潘岳,刘英,顾善发.矿井断层冲击地压的折迭突变模型[J].岩石力学与工程学报,2001,20(1):43―48.PAN Yue,LIU Ying,GU Shan-fa.Fold catastrophe Model of mining fault rockburst[J].Chinese Journal of Rock Mechanics and Engineering,2001,20(1):43―48.
[9]潘岳,解金玉,顾善发.非均匀围压下矿井断层冲击地压的突变理论分析[J].岩石力学与工程学报,2001,20(3):310―314.PAN Yue,XIE Jin-yu,GU Shan-fa.Catastrophe theory analysis of mining fault rockburst under nonuniform surrounding pressure[J].Chinese Journal of Rock Mechanics and Engineering,2001,20(3):310―314.
[10]李忠华,张永利,孙可明.大台井深部岩巷岩爆发生机理与预防措施研究[J].岩土力学,2003,24(S):630―632.LI Zhong-hua,ZHANG Yong-li,SUN Ke-ming.A study of mechanism and prevention of rockbursts in deep galleries of Datai coal mine[J].Rock and Soil Mechanics,2003,24(S):630―632.
[11]徐林生,王兰生,李永林.岩爆形成机制与判据研究[J].岩土力学,2002,23(3):300―303.XU Lin-sheng,WANG Lan-sheng,LI Yong-lin.Study on mechanism and judgement of rockbursts[J].Rock and Soil Mechanics,2002,23(3):300―303.
[12]沈新普,泽鲁.穆荣日.求解层间界面反平面剪切破坏的剪切梁模型(I)—基本特性[J].应用数学和力学,2000,21(11):1 101―1 108.SHEN Xin-pu,Zenon Mroz.Shear beam model for interface failure under antiplane shear(I)-fundamental behavior[J].Applied Mathematics and Mechanics,2000,21(11):1 101―1 108.
[13]沈新普,泽鲁.穆荣日.求解层间界面反平面剪切破坏的剪切梁模型(II)—失稳特性[J].应用数学和力学,2000,21(11):1 109―1 116.SHEN Xin-pu,Zenon Mroz.Shear beam model for interface failure under antiplane shear(II)-Instability[J].Applied Mathematics and Mechanics,2000,21(11):1 109―1 116.
[14]李忠华,杨金明,潘一山.基于剪切梁层间失效模型的地震分析[J].辽宁工程技术大学学报,2001,20(4):429―430.LI Zhong-hua,YANG Jin-ming,PAN Yi-shan.Earthquake Analysis based on shear beam model for interface failure[J].Journal of Liaoning Technical University,2001,20(4):429―430.
[15]王学滨,赵扬锋,张智慧,等.考虑应变率及应变梯度效应的断层岩爆分析[J].岩石力学与工程学报,2003,22(11):1 859―1 862.WANG Xue-bin,ZHAO Yang-feng,ZHANG Zhi-hui,et al.Analysis on fault rockburst considering strain rate and strain gradient[J].Chinese Journal of Rock Me-chanics and Engineering,2003,22(11):1 859―1 862.
[16]潘一山,赵扬锋,马瑾.中国矿震受区域应力场影响的探讨[J].岩石力学与工程学报,2005,24(16):2 847―2 853.PAN Yi-shan,ZHAO Yang-feng,MA Jin.Discussion on rockburst influenced by regional stress field in China[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(16):2 847―2 853.
[17]王学滨,潘一山,马瑾.剪切带-弹性岩体系统的稳定及失稳滑动理论研究[J].岩土工程学报,2002,24(3):360―362.WANG Xue-bin,PAN Yi-shan,MA Jin.Theoretical analysis of stability and unstable sliding of the system composed of shear band and elastic rock[J].Chinese Journal of Geotechnical Engineering,2002,24(3):360―362.
[18]王学滨,潘一山,海龙.基于剪切应变梯度塑性理论的断层岩爆失稳判据[J].岩石力学与工程学报,2004,23(4):588―591.WANG Xue-bin,PAN Yi-shan,HAI Long.Instability criterion of fault rockburst based on gradient-dependent plasticity[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(4):588―591.
[19]王学滨,潘一山,任伟杰.基于应变梯度理论的岩石试件剪切破坏失稳判据[J].岩石力学与工程学报,2003,22(5):747―750.WANG Xue-bin,PAN Yi-shan,REN Wei-jie.Instability criterion of shear failure for rock specimen based on gradient-fependent plasticity[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(4):588―591.
[2]徐世杰.矿震诱发机制的探讨[J].地震,1987,5:44―49.XU Shi-jie.Study on induced mechanism of rockburst[J].Earthquake,1987,(5):44―49.
[3]齐庆新,史元伟,刘天泉.冲击地压粘滑失稳机理的实验研究[J].煤炭学报,1997,22(2):140―148.QI Qing-xin,SHI Yuan-wei,LIU Tian-quan.Mechanism of instability caused by viscous sliding in rockburst[J].Journal Of China Coal Society,1997,22(2):140―148.
[4]Bro A.The influence of stick-slip on block reaction curves[J].International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1992,29(2):119―131.
[5]Rice J R,Ruina A L.Stability of steady frictional slipping[J].Journal of Applied,Mechanics,1983,50:343―349.
[6]Galvanetto U,Bishop S R,Briseghella L.Mechanical stick-slip vibrations[J].International Journal of Bifurcation and Chaos,1995,5(3):637―651.
[7]Salamon MDG.Keynote address:some applications of geomechanical modeling in rockburst and related research[A].Proceedings of the 3rd International Symposium on Rockbursts and Seismicity in Mines[C].Rotterdam:A.A.Balkema,1993:297―309.
[8]潘岳,刘英,顾善发.矿井断层冲击地压的折迭突变模型[J].岩石力学与工程学报,2001,20(1):43―48.PAN Yue,LIU Ying,GU Shan-fa.Fold catastrophe Model of mining fault rockburst[J].Chinese Journal of Rock Mechanics and Engineering,2001,20(1):43―48.
[9]潘岳,解金玉,顾善发.非均匀围压下矿井断层冲击地压的突变理论分析[J].岩石力学与工程学报,2001,20(3):310―314.PAN Yue,XIE Jin-yu,GU Shan-fa.Catastrophe theory analysis of mining fault rockburst under nonuniform surrounding pressure[J].Chinese Journal of Rock Mechanics and Engineering,2001,20(3):310―314.
[10]李忠华,张永利,孙可明.大台井深部岩巷岩爆发生机理与预防措施研究[J].岩土力学,2003,24(S):630―632.LI Zhong-hua,ZHANG Yong-li,SUN Ke-ming.A study of mechanism and prevention of rockbursts in deep galleries of Datai coal mine[J].Rock and Soil Mechanics,2003,24(S):630―632.
[11]徐林生,王兰生,李永林.岩爆形成机制与判据研究[J].岩土力学,2002,23(3):300―303.XU Lin-sheng,WANG Lan-sheng,LI Yong-lin.Study on mechanism and judgement of rockbursts[J].Rock and Soil Mechanics,2002,23(3):300―303.
[12]沈新普,泽鲁.穆荣日.求解层间界面反平面剪切破坏的剪切梁模型(I)—基本特性[J].应用数学和力学,2000,21(11):1 101―1 108.SHEN Xin-pu,Zenon Mroz.Shear beam model for interface failure under antiplane shear(I)-fundamental behavior[J].Applied Mathematics and Mechanics,2000,21(11):1 101―1 108.
[13]沈新普,泽鲁.穆荣日.求解层间界面反平面剪切破坏的剪切梁模型(II)—失稳特性[J].应用数学和力学,2000,21(11):1 109―1 116.SHEN Xin-pu,Zenon Mroz.Shear beam model for interface failure under antiplane shear(II)-Instability[J].Applied Mathematics and Mechanics,2000,21(11):1 109―1 116.
[14]李忠华,杨金明,潘一山.基于剪切梁层间失效模型的地震分析[J].辽宁工程技术大学学报,2001,20(4):429―430.LI Zhong-hua,YANG Jin-ming,PAN Yi-shan.Earthquake Analysis based on shear beam model for interface failure[J].Journal of Liaoning Technical University,2001,20(4):429―430.
[15]王学滨,赵扬锋,张智慧,等.考虑应变率及应变梯度效应的断层岩爆分析[J].岩石力学与工程学报,2003,22(11):1 859―1 862.WANG Xue-bin,ZHAO Yang-feng,ZHANG Zhi-hui,et al.Analysis on fault rockburst considering strain rate and strain gradient[J].Chinese Journal of Rock Me-chanics and Engineering,2003,22(11):1 859―1 862.
[16]潘一山,赵扬锋,马瑾.中国矿震受区域应力场影响的探讨[J].岩石力学与工程学报,2005,24(16):2 847―2 853.PAN Yi-shan,ZHAO Yang-feng,MA Jin.Discussion on rockburst influenced by regional stress field in China[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(16):2 847―2 853.
[17]王学滨,潘一山,马瑾.剪切带-弹性岩体系统的稳定及失稳滑动理论研究[J].岩土工程学报,2002,24(3):360―362.WANG Xue-bin,PAN Yi-shan,MA Jin.Theoretical analysis of stability and unstable sliding of the system composed of shear band and elastic rock[J].Chinese Journal of Geotechnical Engineering,2002,24(3):360―362.
[18]王学滨,潘一山,海龙.基于剪切应变梯度塑性理论的断层岩爆失稳判据[J].岩石力学与工程学报,2004,23(4):588―591.WANG Xue-bin,PAN Yi-shan,HAI Long.Instability criterion of fault rockburst based on gradient-dependent plasticity[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(4):588―591.
[19]王学滨,潘一山,任伟杰.基于应变梯度理论的岩石试件剪切破坏失稳判据[J].岩石力学与工程学报,2003,22(5):747―750.WANG Xue-bin,PAN Yi-shan,REN Wei-jie.Instability criterion of shear failure for rock specimen based on gradient-fependent plasticity[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(4):588―591.
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